Four loop renormalization of 3-quark operators in QCD

TL;DR

This paper computes four-loop anomalous dimensions of 3-quark operators in QCD, providing precise renormalization constants crucial for understanding baryon structure in high-energy physics.

Contribution

It presents the first four-loop renormalization of generalized 3-quark operators in the MSbar scheme, advancing theoretical precision in baryon-related calculations.

Findings

Anomalous dimensions of core baryon operators are determined at four loops.

Critical exponents are analyzed within the conformal window using Banks-Zaks expansion.

Provides renormalization constants essential for lattice QCD and phenomenological studies.

Abstract

We renormalize generalized 3-quark operators that relate to baryon states using the method devised by Kr\"{a}nkl and Manashov at four loops in the MSbar scheme. The anomalous dimensions of the four core operators used to compute nucleon matrix elements are determined and their associated critical exponents are studied in the conformal window using the Banks-Zaks expansion.